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    Numerical studies of a one-dimensional three-spin spin-glass model with long-range interactions

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    PhysRevB.81.064415.pdf (199.6Kb)
    Date
    2010
    Author
    Larson, Derek
    Katzgraber, Helmut G.
    Moore, M. A.
    Young, A. P.
    Metadata
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    Abstract
    We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the nonmean-field regime. By using a three-spin spin-glass model with long-range power-law diluted interactions we are able to continuously tune the (effective) space dimension via the exponent of the interactions. Monte Carlo simulations of the spin-glass susceptibility and the two-point finite-size correlation length show that deep in the nonmean-field regime, the finite-temperature transition is lost whereas this is not the case in the mean-field regime, in agreement with the prediction of Moore and Drossel [Phys. Rev. Lett. 89, 217202 (2002)] that three-spin models are in the same universality class as an Ising spin glass in a magnetic field. However, slightly in the nonmean-field region, we find an apparent transition in the three-spin model, in contrast to results for the Ising spin glass in a field. This may indicate that even larger sizes are needed to probe the asymptotic behavior in this region.
    URI
    http://dx.doi.org/10.1103/PhysRevB.81.064415
    http://hdl.handle.net/1969.1/146832
    Description
    Journals published by the American Physical Society can be found at http://journals.aps.org/
    Subject
    CRITICAL EXPONENTS
    CRITICAL-BEHAVIOR
    FIELD-THEORY
    MONTE-CARLO
    ISING-MODEL
    PHASE
    SIMULATIONS
    CONNECTIONS
    TRANSITION
    POTTS
    Physics
    Department
    Physics and Astronomy
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    Citation
    Derek Larson, Helmut G. Katzgraber, M. A. Moore and A. P. Young. Phys.Rev.B 81 064415 2010."Copyright (2010) by the American Physical Society."

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